Capture Zone of a Well Field in an Aquifer Bounded by Two Parallel Streams

In this paper, the velocity potential and stream
function of capture zone for a well field in an aquifer bounded by two
parallel streams with or without a uniform regional flow of any
directions are presented. The well field includes any number of
extraction or injection wells or a combination of both types with any
pumping rates. To delineate the capture envelope, the potential and
streamlines equations are derived by conformal mapping method.
This method can help us to release constrains of other methods. The
equations can be applied as useful tools to design in-situ groundwater
remediation systems, to evaluate the surface–subsurface water
interaction and to manage the water resources.




References:
[1] Intaraprasong T, Zhan H. Capture zone between two streams. Journal of
Hydrology. 2007;338(3):297-307.
[2] Zarei-Doudeji S, Samani N. Capture Zone of a Multi-Well System in
Bounded Rectangular-Shaped Aquifers: Modeling and Application.
Iranian Journal of Science and Technology, Transactions A: Science.:2-
1-12.
[3] Dacosta JA, Bennett RR. The pattern of flow in the vicinity of a
recharging and discharging pair of wells in an aquifer having areal
parallel flow. Internat. Association of Scientific Hydrology. IUGG
General Assembly of Helsinki. 1960(52):524-36.
[4] Javandel I, Tsang CF. Capture‐Zone Type Curves: A Tool for Aquifer
Cleanup. Groundwater. 1986;24(5):616-25.
[5] Javandel I, Doughty C, Tsang CF. Groundwater Transport, Handbook of
Mathematical Models, American Geophys, 1984.
[6] Grubb S. Analytical Model for Estimation of Steady‐State Capture Zones
of Pumping Wells in Confined and Unconfined Aquifers. Groundwater.
1993;31(1):27-32.
[7] Shan C. An analytical solution for the capture zone of two arbitrarily
located wells. Journal of Hydrology. 1999;222(1):123-8.
[8] Schafer DC. Determining 3D capture zones in homogeneous,
anisotropic aquifers. Groundwater. 1996;34(4):628-39.
[9] Christ JA, Goltz MN. Hydraulic containment: Analytical and semianalytical
models for capture zone curve delineation. Journal of
Hydrology. 2002;262(1):224-44.
[10] Fienen MN, Luo J, Kitanidis PK. Semi-analytical homogeneous
anisotropic capture zone delineation. Journal of Hydrology. 2005 Oct
10;312(1):39-50.
[11] Samani N, Zarei-Doudeji S. Capture zone of a multi-well system in
confined and unconfined wedge-shaped aquifers. Advances in water
resources. 2012-84.
[12] Zarei-Doudeji S, Samani N. Capture zone of a multi-well system in
bounded peninsula-shaped aquifers. Journal of contaminant hydrology.
2014-24.
[13] Strack OD. Groundwater Mechanics. Prentice Hall, USA; 1989.